$\frac{\mathrm{d}}{\mathrm{d}x}(x^n) = nx^{n-1}$, where $n$ is a constant. Find the derivative o

Question

$\frac{\mathrm{d}}{\mathrm{d}x}(x^n) = nx^{n-1}$, where $n$ is a constant. Find the derivative of each of the following, $y = x^6$ $y = \sqrt{x}$ $y = \frac{1}{x^5}$ $y = 1$

Accepted Answer

(a) $6x^5$ (b) $-5x^{-6}$ (c) $\frac{1}{2\sqrt{x}}$ (d) $0$

Derivative of Power Functions

Derivative of Power Functions

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